Publications by the researcher in collaboration with Jaume Giné Mesa (22)

2024

  1. ANALYTICAL INTEGRABILITY OF PERTURBATIONS OF DEGENERATE QUADRATIC SYSTEMS

    Journal of Applied Analysis and Computation, Vol. 14, Núm. 2, pp. 864-885

  2. Center conditions to find certain degenerate centers with characteristic directions

    Mathematics and Computers in Simulation, Vol. 215, pp. 628-638

2023

  1. Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 234

2022

  1. Center problem for generic degenerate vector fields

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 214

2021

  1. A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

    Mediterranean Journal of Mathematics, Vol. 18, Núm. 5

  2. Orbital reversibility of planar vector fields

    Mathematics, Vol. 9, Núm. 1, pp. 1-25

2020

  1. Analytic integrability around a nilpotent singularity: The non-generic case

    Communications on Pure and Applied Analysis, Vol. 19, Núm. 1, pp. 407-423

  2. Center conditions of a particular polynomial differential system with a nilpotent singularity

    Journal of Mathematical Analysis and Applications, Vol. 483, Núm. 2

  3. Orbitally universal centers

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 195

2019

  1. Analytic integrability around a nilpotent singularity

    Journal of Differential Equations, Vol. 267, Núm. 1, pp. 443-467

  2. Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor

    Communications in Nonlinear Science and Numerical Simulation, Vol. 71, pp. 130-140

  3. Nondegenerate and Nilpotent Centers for a Cubic System of Differential Equations

    Qualitative theory of dynamical systems, Vol. 18, Núm. 1, pp. 333-345

2018

  1. Nondegenerate centers and limit cycles of cubic Kolmogorov systems

    Nonlinear Dynamics, Vol. 91, Núm. 1, pp. 487-496

  2. The center problem for Z2-symmetric nilpotent vector fields

    Journal of Mathematical Analysis and Applications, Vol. 466, Núm. 1, pp. 183-198

2016

  1. Analytic Integrability of Some Examples of Degenerate Planar Vector Fields

    Acta Applicandae Mathematicae, Vol. 141, Núm. 1, pp. 1-15

  2. Analytic integrability inside a family of degenerate centers

    Nonlinear Analysis: Real World Applications, Vol. 31, pp. 288-307

  3. Analytic integrability of some degenerate centers

    No Lineal 2016. International Conference on Nonlinear Mathematics and Physics: 7-10, 2016. book of abstracts (Juan F.R. Archilla), pp. 21-21

  4. Geometric Criterium in the Center Problem

    Mediterranean Journal of Mathematics, Vol. 13, Núm. 5, pp. 2593-2611

  5. Nilpotent centres via inverse integrating factors

    European Journal of Applied Mathematics, Vol. 27, Núm. 5, pp. 781-795

2014

  1. Analytic integrability for some degenerate planar vector fields

    Journal of Differential Equations, Vol. 257, Núm. 2, pp. 549-565